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sashaice [31]
3 years ago
14

If g(x)=3x-1 and if g(a)=7 what is the value of a?

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

Answer:

a = 8/3

Step-by-step explanation:

3a - 1 would equal 7

3a = 7 + 1

3a = 8

a = 8/3

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HELP WITH ANY OR ALL THESE PROBLEMS ASAP PLEASE LIKE NOW PLEASE<br>CAN SOMEONE PLEASE HELP 
LiRa [457]

Ques 8:

The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)= x^{3}+2x^{2}-13x+10

a) We have to explain that why x =4 is not a possible rational zero.

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

For this , we will substitute the value of x in the given function.

V(x)=x^{3}+2x^{2}-13x+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=54 which is not equal to zero.

Therefore, x=4 is not a possible rational zero.

(b) To show that (x-1) is a factor of V(x).

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

Let (x-1)=0

So, x=1.

Substituting x=1 in the given function.

V(1)=1^{3}+2(1)^{2}-13(1)+10

V(1)= -10+10

V(1) = 0

Therefore, (x-1) is a factor of V(x).

Now we will factorize the given function.

Dividing the given function by (x-1).

On dividing, we get quotient as x^{2}+3x-10

So, factored form is = (x-1)(x^{2}+3x-10)

= (x-1)(x^{2}+5x-2x-10)

= (x-1)(x(x+5)-2(x+5))

=(x-1)(x+5)(x-2)

(c) So, the dimensions are 1,2 and -5.

5 0
3 years ago
There are 3 3/4 cups of flour 1 1/2 cups of sugar 2/3 cups of brown sugar and 1/4 cups of oil in a cake mix how many cups of in
maxonik [38]

Answer:

7 6/12

Step-by-step explanation:

8 0
3 years ago
What is the center and radius of the circle (x+4)^2+(y+6)^2=64
meriva

Answer:

Step-by-step explanation:

hello :

the center is : (-4 , -6)  and radius 8

5 0
3 years ago
An instructor believes the distribution of scores on her final exam will have mean 62 and standard deviation 7. Fred is a studen
OLga [1]

Answer:

a) P(47

And then the probability that Fred will not score between 47 and 77 is

1-0.968 = 0.0321

b) P(45

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(62,7)  

Where \mu=62 and \sigma=7

We are interested on this probability  on the probability that Fred will not score between 47 and 77. So we can begin finding this probability

P(47

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(47

And we can find this probability on this way:

P(-2.143

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2.143

And then the probability that Fred will not score between 47 and 77 is

1-0.968 = 0.0321

Part b

P(45

And we can find this probability on this way:

P(-2.429

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2.429

7 0
3 years ago
How do i answer 13= 4 x ​ what is X
Andrews [41]

Answer:

Answer is 3.25

Step-by-step explanation:

3 0
3 years ago
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